Associated production of Higgs boson with vector boson at threshold N$^3$LO in QCD

TL;DR

This paper calculates the third-order QCD corrections at threshold for Higgs boson production with a vector boson, reducing theoretical uncertainties and enhancing precision in predictions.

Contribution

It introduces the first implementation of threshold N$^3$LO corrections in the vh@nnlo package for associated Higgs production with vector bosons.

Findings

Threshold N$^3$LO corrections reduce scale uncertainties.

Implementation in vh@nnlo enables precise numerical predictions.

First time these corrections are included in a public tool.

Abstract

We present the results for the associated production of Higgs boson with vector boson computed at threshold N$^3$LO in QCD. We use the recently available result on the threshold contributions to the inclusive Drell-Yan production cross-section at third order in strong coupling constant. We have implemented it in the publicly available computer package vh@nnlo, thereby obtaining the numerical impact of threshold N$^3$LO contributions for the first time. We find that the inclusion of such corrections do reduce theoretical uncertainties resulting from the renormalization scale.